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Glencoe Math: Course 3, Volume 1

GM

Glencoe Math: Course 3, Volume 1 View details

3. Multiply and Divide Monomials

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Exercise 31 Page 29

Use the Quotient of Powers Law. This Law states that to divide powers with the same base, we need to subtract their exponents.

5^2 * 7^0 * 10 or 250

Practice makes perfect

We want to simplify the rational expression by using the Laws of Exponents. 5^3 * 7^4 * 10/5 * 7^4 In this case, we will use the Quotient of Powers Law. This Law states that to divide powers with the same base, we need to subtract their exponents. Let's do it!

5^3 * 7^4 * 10/5 * 7^4

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a* b/c=a/c* b

5^3 * 7^4/5 * 7^4 * 10

Write as a product of fractions

5^3/5 * 7^4/7^4 * 10

a=a^1

5^3/5^1 * 7^4/7^4 * 10

a^m/a^n= a^(m-n)

5^(3-1) * 7^(4-4) * 10

Subtract term

5^2 * 7^0 * 10

a^0=1

5^2 * 1 * 10

Calculate power

25 * 1 * 10

Multiply

250

Subchapter links

Guided Practice p.26

Independent Practice p.27-28

H.O.T. Problems p.28

Standardized Test Practice p.28-30

Extra Practice p.29

Common Core Review p.30